ASVAB Math Knowledge Practice Test 234498 Results

Your Results Global Average
Questions 5 5
Correct 0 3.21
Score 0% 64%

Review

1

The endpoints of this line segment are at (-2, -3) and (2, 7). What is the slope-intercept equation for this line?

41% Answer Correctly
y = 2\(\frac{1}{2}\)x + 2
y = 3x + 1
y = \(\frac{1}{2}\)x + 2
y = -2x - 1

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -3) and (2, 7) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(7.0) - (-3.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
m = 2\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = 2\(\frac{1}{2}\)x + 2


2

Simplify 7a x 4b.

86% Answer Correctly
28ab
28a2b2
11ab
28\( \frac{a}{b} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

7a x 4b = (7 x 4) (a x b) = 28ab


3

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral and isosceles

equilateral and right

equilateral, isosceles and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


4

Simplify (5a)(7ab) - (7a2)(7b).

62% Answer Correctly
-14a2b
168ab2
168a2b
84ab2

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(5a)(7ab) - (7a2)(7b)
(5 x 7)(a x a x b) - (7 x 7)(a2 x b)
(35)(a1+1 x b) - (49)(a2b)
35a2b - 49a2b
-14a2b


5

If AD = 14 and BD = 6, AB = ?

76% Answer Correctly
14
9
8
10

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 14 - 6
AB = 8